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Finding the Fourth Proportional to 469,013.37, 704,461.50 and 279,842.91

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Solution

The fourth proportional to 469,013.37, 704,461.50 and 279,842.91 is: 420,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,013.37 : 704,461.50 = 279,842.91 : x
  2. Step 2: Convert to fraction form
    469,013.37/704,461.50 = 279,842.91/x
  3. Step 3: Cross multiply
    469,013.37x = 704,461.50 × 279,842.91
  4. Step 4: Simplify right side
    469,013.37x = 197,138,556,142.97
  5. Step 5: Solve for x
    x = 197,138,556,142.97/469,013.37
  6. Step 6: Final answer
    x = 420,326.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.